Problem : Find all the rational zeros of P(x) = 6x4 - x3 -55x2 + 9x + 9.

x = - 3, - , , 3.

Problem : Find all the rational zeros of P(x) = 3x4 +10x3 -11x2 - 10x + 8.

x = - 4, -1, , 1.

Problem : Find all the rational zeros of P(x) = 2x4 + x3 -14x2 + 5x + 6.

x = - 3, - , 1, 2.

Problem : Factor completely: P(x) = 3x3 +17x2 + 5x - 25.

P(x) = (3x + 5)(x + 5)(x - 1).

Problem : Factor completely: P(x) = 4x4 +13x3 -49x2 - 73x - 15.

P(x) = (4x + 1)(x + 5)(x + 1)(x - 3).

Problem : Factor completely: P(x) = 8x4 +24x3 -34x2 - 6x + 8.

P(x) = 2(2x + 1)(2x - 1)(x + 4)(x - 1).